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Consider the Function f(x)=ax(1−x)f(x)=a x(1-x) For a>0a>0 For What Value of X on the Region

Question 27

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Consider the function f(x)=ax(1−x)f(x)=a x(1-x) for a>0a>0 .For what value of x on the region 0≤x≤10 \leq x \leq 1 does f have a local maximum? If there is more than one value, give the smallest one.

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